A shopkeeper allows 16% discount on every item. Even after giving the discount, he makes a profit of 8%. If he gives 8%
discount instead of 16% on an item marked for Rs1800, then what will be his profit percent? (correct to 2 decimal places)
This questions was previously asked in
SSC CGL 16th August 2021 Shift-3
Explanation:
To solve the problem, follow these steps:
- Initial scenario:
- Original situation has a 16% discount, resulting in an 8% profit.
- Let the cost price be \( CP \).
- Selling price at 16% discount = 84% of marked price = 0.84 * 1800 = 1512.
- If 1512 is 108% of CP (since 8% profit), then CP = 1512 / 1.08 ˜ 1400.
- New scenario with 8% discount:
- Selling price becomes 92% of marked price = 0.92 * 1800 = 1656.
- Profit = 1656 - 1400 = 256.
- Profit percentage = (Profit/CP) * 100 = (256/1400) * 100 ˜ 18.29%.
- Conclusion:
- The profit percentage when an 8% discount is offered is approximately 18.29%.
- Hence, option 4 (18.29) is correct.
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